Ex 3.3, 3
Form the pair of linear equations for the following problems and find their solution by substitution method.
(i) The difference between two numbers is 26 and one number is three times the other. Find them.
Let Larger Number be x
& Smaller Number be y
Given that
Difference between two numbers = 26
x – y = 26
Also, one number is 3 times other
x = 3y
Now, our equations are
x – y = 26 …(1)
x = 3y …(2)
Putting (2) in (1)
x – y = 26
(3y) – y = 26
2y = 26
y = 26/2
y = 13
Putting y = 13 in (2)
x = 3y
x = 3 (13)
x = 39
Hence , x = 39 and y = 13 is the solution
So, Numbers are 39 and 13

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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